document.write( "Question 422111: 6. If Leah is 6 years older than Sue, and John is 5 years older than Leah, and the total of their ages is 41. Then how old is Sue?
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document.write( "I tried to solve it on my own by dividing all 3 into 41 and then subtracted 6 hrs from sue and the subtracted 5 yrs from Leah and I am not coming up anywhere close to any of the answers provided. I don't know how to figure out what method to use when solving word problems. Can you please help? \n" );
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Algebra.Com's Answer #294661 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! Let L = Leah's age, S = Sue's age, and J = John's age\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So because \"Leah is 6 years older than Sue\", we know that L = S+6 (ie add 6 years to Sue's age to get Leah's age)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Since \"John is 5 years older than Leah\", we also know that J = L+5\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Finally, we know that \"the total of their ages is 41\", which tells us that L + S + J = 41\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So simply plug in J = L+5 to get\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "L + S + (L+5) = 41\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "L + S + L + 5 = 41\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now plug in L = S + 6 to get\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(S+6) + S + (S+6) + 5 = 41\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "S + 6 + S + S + 6 + 5 = 41\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now let's solve for S\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "S + 6 + S + S + 6 + 5 = 41\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3S + 17 = 41\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3S = 41 - 17\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3S = 24\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "S = 24/3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "S = 8\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So Sue is 8 years old (since S = 8 )\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So Leah is L = S+6 = 8+6 = 14 years old (since L = 14)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "And John is J = L + 5 = 14 + 5 = 19 years old.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Notice that the sum of their ages is\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "8+14+19 = 22+19 = 41\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If you need more help, email me at jim_thompson5910@hotmail.com\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Jim \n" ); document.write( " \n" ); document.write( " |